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What is the value of log4(64)?

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Question: What is the value of log4(64)?

Options:

  1. 2
  2. 3
  3. 4
  4. 5

Correct Answer: 5

Solution: 

log4(64) = log4(4^3) = 3.

What is the value of log4(64)?

Practice Questions

Q1
What is the value of log4(64)?
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Questions & Step-by-Step Solutions

What is the value of log4(64)?
Correct Answer: 3
  • Step 1: Understand what log4(64) means. It asks, 'To what power do we raise 4 to get 64?'
  • Step 2: Rewrite 64 as a power of 4. We know that 4^3 = 64.
  • Step 3: Now we can say log4(64) = log4(4^3).
  • Step 4: Use the property of logarithms that says logb(b^x) = x. Here, b is 4 and x is 3.
  • Step 5: Therefore, log4(4^3) = 3.
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